A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL

DOI10.1142/S0219498812501514zbMath1259.05073OpenAlexW2166052697MaRDI QIDQ4909155

Saeed Safaeeyan, Mohammad Baziar, Ehsan Momtahan

Publication date: 12 March 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501514

zbMATH Keywords

chromatic numberclique numbermodulezero-divisor graph

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Connectivity (05C40) General module theory in associative algebras (16D10)

Related Items

A generalization of the annihilating ideal graph for modules ⋮ Perpendicular graph of modules ⋮ Zero-divisor graph of abelian groups ⋮ Zero-divisor graphs for modules over integral domains ⋮ A conception of zero-divisor graph for categories of modules ⋮ Annihilating submodule graph for modules ⋮ Annihilating-ideal graphs of commutative rings ⋮ Unnamed Item ⋮ The spectrum subgraph of the annihilating-ideal graph of a commutative ring ⋮ On strong metric dimension of zero-divisor graphs of rings ⋮ THE ZERO-DIVISOR GRAPH OF A MODULE

Cites Work

• Unnamed Item
• Unnamed Item
• On the diameter and girth of a zero-divisor graph
• Zero-divisor graphs of partially ordered sets
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
• On the zero-divisor graph of a commutative ring
• Zero divisor graphs for modules over commutative rings
• On zero-divisor graphs of finite rings.
• On a graph of ideals
• Comaximal graph of commutative rings
• The diameter of a zero divisor graph
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• On the Zero-Divisor Graph of a Ring
• STRONG ZERO-DIVISORS OF NON-COMMUTATIVE RINGS
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings